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Finding the Third Proportional to 227,133 and 494,037

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Solution

The third proportional to 227,133 and 494,037 is: 1,074,579.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,133 : 494,037 = 494,037 : x
  2. Step 2: Convert to fraction form
    227,133/494,037 = 494,037/x
  3. Step 3: Cross multiply
    227,133x = 494,037 × 494,037
  4. Step 4: Simplify right side
    227,133x = 244,072,557,369
  5. Step 5: Solve for x
    x = 244,072,557,369/227,133
  6. Step 6: Final answer
    x = 1,074,579.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.